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133112312015202 = 2321333366012037
BaseRepresentation
bin11110010001000010100000…
…000100101010100101100010
3122110022102010220011002012200
4132101002200010222211202
5114421403003333441302
61151034541341434030
740016022116302242
oct3621024004524542
9573272126132180
10133112312015202
11394606839a1283
1212b1a083b6b916
13593758b5a3000
1424c2955353b22
15105c853d7b81c
hex7910a012a962

133112312015202 has 48 divisors (see below), whose sum is σ = 312433237367160. Its totient is φ = 40957634454048.

The previous prime is 133112312015173. The next prime is 133112312015231. The reversal of 133112312015202 is 202510213211331.

133112312015202 is a `hidden beast` number, since 1 + 3 + 3 + 1 + 12 + 3 + 120 + 1 + 520 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (133112312015173) and next prime (133112312015231).

It can be written as a sum of positive squares in 4 ways, for example, as 4323201551361 + 128789110463841 = 2079231^2 + 11348529^2 .

It is a super-2 number, since 2×1331123120152022 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1682966473 + ... + 1683045564.

Almost surely, 2133112312015202 is an apocalyptic number.

133112312015202 is an abundant number, since it is smaller than the sum of its proper divisors (179320925351958).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133112312015202 is a wasteful number, since it uses less digits than its factorization.

133112312015202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366012084 (or 3366012055 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 133112312015202 its reverse (202510213211331), we get a palindrome (335622525226533).

The spelling of 133112312015202 in words is "one hundred thirty-three trillion, one hundred twelve billion, three hundred twelve million, fifteen thousand, two hundred two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 169 234 338 507 1014 1521 2197 3042 4394 6591 13182 19773 39546 3366012037 6732024074 10098036111 20196072222 30294108333 43758156481 60588216666 87516312962 131274469443 262548938886 393823408329 568856034253 787646816658 1137712068506 1706568102759 3413136205518 5119704308277 7395128445289 10239408616554 14790256890578 22185385335867 44370770671734 66556156007601 133112312015202